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Most people find multiplication by a fraction easier than dividing by a fraction.
Dividing by a fraction is equivalent to multiplying by its reciprocal.
For example, 10 / (3/4) would require you to divide by 3/4. How many three-quarters in ten? Hmmm... Not that easy.
Instead, try multiplying by 4/3
Much easier: 10*(4/3) = 40/3 = 13.33...
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What is the reciprocal of a fraction?
The reciprocal of a fraction is when you flip the two fractions as shown . 1/8 = 8/1
What is the definition of dividing fractions and mixed numbers?
The definition is the same as the definition of just about any division. Dividing by a number can be defined as multiplying by the reciprocal of the number. The reciprocal is the number which, when multiplied by a number, results in a product of 1. For example, dividing by 2 is defined as multiplying by 1/2 (since 2 x 1/2 = 1). Division can also be defined as finding a solution of an inverse multiplication problem. For example, 5 / 2 = x is equivalent to x times 2 = 5; thus, the division can be defined as finding a number that solves the multiplication. Although I didn't use mixed fractions in the above examples, the definitions are exactly the same for mixed numbers.
How do you solve all fractions problems?
You basically have to learn separately how to do different things with fractions, including finding a common denominator; converting fractions to a different denominator; simplifying fractions; adding and subtracting fractions; multiplying fractions; dividing fractions.
How do you find the reciprocal of onehalf?
To find the reciprocal of a fraction, you turn it upside down. So the reciprocal of 1/2 is 2/1, or just 2.
What is the reciprocal of 17 over 7?
The reciprocal of a fraction is found by flipping the numerator and denominator. So, the reciprocal of 17/7 is 7/17. This means that if you were to multiply 17/7 by its reciprocal, the result would be 1, as the two fractions are multiplicative inverses of each other.
